Use our free GCF of Fractions Calculator tool to compute the GCF of 74/235, 39/136, 575/598 i.e 1/9556040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 74/235, 39/136, 575/598.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 74/235,39/136,575/598
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 74/235,39/136,575/598, numerators are 74,39,575
Denominators are 235,136,598
The GCF of 74,39,575 is 1 .
LCM of 235,136,598 is 9556040.
The greatest common factor of 74/235,39/136,575/598 = [GCF of 74,39,575]/[LCM of 235,136,598]= 1/9556040
Therefore, the GCF of 74/235,39/136,575/598 is 1/9556040.
To find the highest common factor of 74,39,575, we have to find the factors of both numbers and list the highest common factor.
The factors of 74 are 1, 2, 37, 74
The factors of 39 are 1, 3, 13, 39
The factors of 575 are 1, 5, 23, 25, 115, 575
The HCF of 74,39,575 is 1.
Lets's calculate GCF of 74,39,575
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 74
:1,2,37,74
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 575
:1,5,23,25,115,575
Greatest Common Factor
We found the factors 74,39,575 . The biggest common factor number is the GCF number.
So the greatest common factor 74,39,575 is 1.
Lets's calculate LCM of 235,136,598
2 | 235, 136, 598 |
235, 68, 299 |
∴ So the LCM of the given numbers is 2 x 235 x 68 x 299 = 9556040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9556040
Therefore, the GCF of Fractions 74/235,39/136,575/598 is 1/9556040
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 235,136,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,136,598) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(235,136,598) x common factors =1 x 2 = 2
LCM(235,136,598) = ( 235 × 136 × 598 ) / 2
LCM(235,136,598) = 19112080 / 2
LCM(235,136,598) = 9556040
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 74,39,575?
The HCF of 74,39,575 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 74/235, 39/136, 575/598?
Answer: GCF of Numerators as per given numbers 74/235, 39/136, 575/598 is
GCF of Numerators i.e. for 74,39,575 is 1
LCM of denominators i.e. for 235,136,598 is 9556040.
Thus, GCF of Fractions is 1/9556040.Finally, GCF of Fractions for 74/235, 39/136, 575/598 is 1/9556040.